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Topic: Elementary complex analysis
Replies: 19   Last Post: Mar 9, 2013 11:35 AM

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Robin Chapman

Posts: 412
Registered: 5/29/08
Re: Elementary complex analysis
Posted: Mar 6, 2013 6:33 AM
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On 05/03/2013 20:32, AMeiwes wrote:
> "Paul" <> wrote in message

>> I suspect there's a theorem about entire complex functions f which have the
>> property that the absolute value of f(z) tends to infinity as the absolute
>> value >of z tends to infinity. What does this theorem say? I don't know
>> of any such functions besides polynomials of degree >= 1. Is it the case
>> that the set >of functions which have this property is just the set of
>> polynomials of degree >= 1. Thank you.
>> Paul Epstein

> f(z) = 1/z ?

Not entire.

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